Find the LCM of 556, 867, 388, 296, 714 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 556, 867, 388, 296, 714. So, keep reading to learn more.
Given numbers are 556,867,388,296,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,867,388,296,714 is 24221184792.
Find LCM of 556,867,388,296,714 with Prime Factorization
2 | 556, 867, 388, 296, 714 |
2 | 278, 867, 194, 148, 357 |
3 | 139, 867, 97, 74, 357 |
17 | 139, 289, 97, 74, 119 |
139, 17, 97, 74, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 139 x 17 x 97 x 74 x 7 = 24221184792
Therefore, the lowest common multiple of 556,867,388,296,714 is 24221184792.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
556 x 867 x 388 x 296 x 714 = 39528973580544
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
556 : 1, 2, 4, 139, 278, 556
867 : 1, 3, 17, 51, 289, 867
388 : 1, 2, 4, 97, 194, 388
296 : 1, 2, 4, 8, 37, 74, 148, 296
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,867,388,296,714, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
867:3x 17x 17
388:2x 2x 97
296:2x 2x 2x 37
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 17 = 1632
Therefore, the value for common factors is 1632.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 39528973580544/(1x1632)
LCM = 39528973580544/1632
LCM = 24221184792
Thus, we can understand that the LCM of 556,867,388,296,714 is 24221184792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 556, 867, 388, 296, 714?
Answer: LCM of 556, 867, 388, 296, 714 is 24221184792.
2. How to calculate the LCM of 556, 867, 388, 296, 714?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 556, 867, 388, 296, 714.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.